6 only 1. The volume of a right prism is 234cm' with an altitude of 15cm. If the base of the prism is anequilateral triangle, find the length of the base edge.2. A prism with an altitude of 15cm has a base in the form of a regular octagon inscribef in a square10m x 10 m. Find the volume of the prism.3. What is the volume if a cylindrical tank whose lateral surface area is 15.8 m² and whose basearea is 4.524 m?4. A cylinder has a height of 10m and is constructed such that its volume is numerically equal to itslateral surface area I. Fins its total surface area.5. The volume of pyramid whose base is regular hexagon is 1156m. If the altitude of the pyramid is5m, find the length of one side of the base.6. The volume of a pyramid whose base is a square is 551.67m. If the altitude of the pyramid is16.55m, find the slant height of the lateral sides.

As we know that the volume of the pyramid is: V=13×B×h Where, B is the base area and h is the…

Answered: The volume of a pyramid whose base is a…

The volume of a pyramid whose base is a square is 551.67m³. If the altitude of the pyramid is 16.55m, find the slant height of the lateral sides.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...

See similar textbooks

Related questions

Q: Find the BASE AREA of the PYRAMID with a volume of 126 fi° and a height of 18 ft.

Q: Find the height of the square pyramid. Volume = 270 m3 9 m meters. The height is

Q: For a regular square pyramid, the slant height of each lateral face has a measure equal to that of…

A: A regular square pyramid is shown below. From above figure, the dimension of edge of base is x. The…

Q: The altitude of a regular square pyramid is 4 cm. If the volume is 240 cm?. Find the total area of…

A: The volume, V , of a square pyramid is defined by the equation, V=13a2h . The total area, A , of a…

Q: Find the height of an pentagonal pyramid with a volume of 652 ft³ and a base area of 120 ft². Height…

A: Find the height of the pentagonal pyramid with a volume 652 ft3 and a base area 120 ft2

Q: Find the volume of the square right pyramid below with a base edge of 40 feet and a slant height of…

Q: A cylinder and a cone have equal base radii and equal heights. If the volume of the cone is 50 cm',…

Q: A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters.…

A: the volume of a square-based pyramid, use the formula V = A(h/3), where V is the volume and A is the…

Q: The volume of the frustum of a regular triangular pyramid is 135 cu m. The lower base is an…

Q: Find the volume of a frustum of a regular hexagonal pyramid with the base edges of 6 cm and 8 cm,…

Q: A regular decagonal prism has side length 8 m, apothem 12.31 m and height 9 m. Find the total…

Q: The surface area of a right rectangular prism is 5,422 in. If the base is 23 x 31, find the height.…

Q: What is the volume of an oblique pentagonal prism whose base area is 120 cm2 and whose height is 15…

A: We know that Volume = Base X Height

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height i.e. , = A×2 (Let A…

Q: The image below shows a square pyramid being pushed into the corner of a box. If the pyramid has a…

A: We need to find volume of pyramid.

Q: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

A: the base of a regular pyramid is a regular hexagon, each of whose side is 10 cm. if the slant height…

Q: For a regular square pyramid, the slant height of each lateral face has a measure equal to that of…

Q: Find the surface area of a square pyramid whose side length of the base is 9 cm and has a slant…

Q: Find the volume of a pyramid whose base is a square with side L and whose height is H

A: Pyramid: base is a square with side L. base area = L x L = L2 height = H…

Q: Find the total surface area of a frustum of a right square pyramid whose upper and lower base edges…

A: To find out the total surface area of a frustum of a right square pyramid.

Q: A regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of…

Q: Find the volume of the triangular pyramid.

Q: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and the height…

A: Given that: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and…

Q: Find the volume of a pyramid with an equilateral triangle base of length 2 on each side, and height…

Q: A regular square pyramid has an altitude of 12m and a volume of 196m^3. Determine the slant height…

A: Follow the procedure given below.

Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…

Q: Find the surface area and volume of a triangular pyramid that has a slant height of 15, a height of…

A: We have to find area and volume

Q: Find the volume of a regular triangular pyramid if the length of one side of the base is 12 cm and…

Q: Find the volume of a pyramid with height 21 and rectangular base with dimensions 2 and 12.

Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

Q: Find the volume and lateral surface area of the frustum of a regular square pyramid whose altitude…

Q: THE HORIZONTAL BASE OF REGULAR PYRAMID IS AN EQUIKATERAL TRIANGLE 20 m ON EACH SIDE. IF THE VOLUME…

A: The horizontal base of regular pyramid is an equilateral triangle has side lengths 20m each.volume…

Q: What is the surface area of an octagonal pyramid with slant height 16cm and whose side of octagon…

Q: Find the lateral surface area, total surface area, and volume of the square-based pyramid with a…

Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

Q: The street department's storage building, which is used to store the rock, gravel, and salt used on…

A: The volume of a regular hexagonal pyramid with altitude h and side length b is defined as…

Q: Calculate the volume of a sphere inscribed in a square base pyramid with an altitude of 30m and a…

A: We have to find the volume of a sphere inscribed in a square base pyramid.

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

A: Given, Base side length, l= 6cm,Apothem, a=5.2 cmHeight, h=15 cm

Q: The image below shows a square pyramid being pushed into the corner of a box.If the pyramid has a…

Q: find the volume and the surface area of a square pyramid with a slant height of 5.22ft, hight of 5ft…

A: Given square pyramid with a slant height of 5.22ft, hight of 5ft and sides of 3ft

Q: The edge of a regular dodecahedron is 6 m, what is its total surface area?

A: Given: The edge of a regular dodecahedron is 6 m. To Find: Total surface area of the given regular…

Q: A cone-shaped pile of sawdust has a base diameter of 36 feet, and is 13 feet tall. Find the volume…

Q: The street department's storage building, which is used to store the rock, gravel, and salt used on…

A: The Volume of the regular hexagonal pyramid with altitude h and side length a is define as…

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: Calculate the volume of the square pyramid. 13FT X 10FT

Q: Find the volume of a rectangular pyramid with length 23 m, width 18 m, and height 11 m.

A: GIVEN: length, l = 23 m width, w = 18 m height, h = 11 m

Q: Suppose the area of the base of a pyramid is 112 ft2 and its lateral surface area is 198 ft2. What…

A: Given, Area of the base of the pyramid = 112 square feet Lateral surface area of the pyramid = 198…

Q: The volume of a right circular cone is 967 in'. If the radius of the base measures 6 in., find the…

A: Since, we have been given that the volume of a right circular cone is 96π inch3.Also, we have been…

Q: Find the volume of this triangular prism. :)

A: Volume of a triangular prism is calculated by- V=12×b×h×l where b is the base of the prism…

Question

6 only

1. The volume of a right prism is 234cm' with an altitude of 15cm. If the base of the prism is an
equilateral triangle, find the length of the base edge.
2. A prism with an altitude of 15cm has a base in the form of a regular octagon inscribef in a square
10m x 10 m. Find the volume of the prism.
3. What is the volume if a cylindrical tank whose lateral surface area is 15.8 m² and whose base
area is 4.524 m?
4. A cylinder has a height of 10m and is constructed such that its volume is numerically equal to its
lateral surface area I. Fins its total surface area.
5. The volume of pyramid whose base is regular hexagon is 1156m. If the altitude of the pyramid is
5m, find the length of one side of the base.
6. The volume of a pyramid whose base is a square is 551.67m. If the altitude of the pyramid is
16.55m, find the slant height of the lateral sides.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a Lateral area. b total area. c volume.
The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the prism is 13 cm. Find the a Lateral area b total area c volume.
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
Find the volume and the surface area of a closed box that has dimensions of 9 in., 10 in., and 1 ft.
For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and 6 m. The altitude is 7 m. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume of the prism.
A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of the year. With each side of the regular pentagonal face measuring 4cm, the area of each face is approximately 27.5 cm2. a What is the total surface area of the calendar? b If the material used to construct the calendar costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?